Using Ratios in the Coordinate Plane Quick Check
3 of 53 of 5 Items
Question
Use the image to answer the question.
A graph with the x-axis representing oranges ranging from 0 to 36 in increments of 3 and the y-axis representing dollars ranging from 0 to 20 in increments of 1 shows six plotted points, 3 each for option A and option B. Option A has the following points: left parenthesis 12 comma 5 right parenthesis; left parenthesis 24 comma 10 right parenthesis; and left parenthesis 36 comma 15 right parenthesis. Option B has the following points: left parenthesis 9 comma 6 right parenthesis; left parenthesis 18 comma 12 right parenthesis; and left parenthesis 27 comma 18 right parenthesis.
Which coordinate pair should be plotted next for Option A to keep the ratio the same?
(1 point)
Responses
(37, 16)
left parenthesis 37 comma 16 right parenthesis
(48, 20)
left parenthesis 48 comma 20 right parenthesis
(40, 19)
left parenthesis 40 comma 19 right parenthesis
(41, 20)
left parenthesis 41 comma 20 right parenthesis
Skip to navigation
page 8 of 8
Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.
To determine the ratio, we need to find the common ratio between the x-coordinates and the y-coordinates.
For Option A:
Common ratio for x-coordinates: (24 - 12) / (12 - 0) = 12 / 12 = 1
Common ratio for y-coordinates: (10 - 5) / (24 - 12) = 5 / 12
For Option B:
Common ratio for x-coordinates: (18 - 9) / (9 - 0) = 9 / 9 = 1
Common ratio for y-coordinates: (12 - 6) / (18 - 9) = 6 / 9 = 2 / 3
To keep the ratio the same as Option A, the next coordinate pair for Option A should have the same common ratio for the y-coordinates of 5/12.
Looking at the options, the only pair that satisfies this condition is (41, 20). So the correct answer is:
(41, 20)